Uses of Class
edu.jas.arith.BigRational

Packages that use BigRational

Package	Description
edu.jas.application	Groebner base application package.
edu.jas.arith	Basic arithmetic package.
edu.jas.fd	Factorization domain package for solvable polynomial rings.
edu.jas.gbufd	Groebner bases using unique factorization package.
edu.jas.poly	Generic coefficients polynomial package.
edu.jas.root	Real and Complex Root Computation package.
edu.jas.ufd	Unique factorization domain package.

Uses of BigRational in edu.jas.application

Fields in edu.jas.application declared as BigRational

Modifier and Type	Field	Description
protected BigRational	RealAlgebraicRing.eps	Epsilon of the isolating rectangle for a complex root.

Methods in edu.jas.application that return BigRational

Modifier and Type	Method	Description
BigRational	RealAlgebraicRing.getEps()	Get epsilon.
BigRational	RealAlgebraicNumber.getRational()	Return a BigRational approximation of this Element.
BigRational	RealAlgebraicNumber.magnitude()	RealAlgebraicNumber magnitude.

Methods in edu.jas.application that return types with arguments of type BigRational

Modifier and Type	Method	Description
static List<GenPolynomial<BigRational>>	ExamplesGeoTheorems.getExample()	get Pappus Example.

Methods in edu.jas.application with parameters of type BigRational

Modifier and Type	Method	Description
static <D extends GcdRingElem<D> & Rational> List<IdealWithComplexRoots<D>>	PolyUtilApp.complexRoots(Ideal<D> G, BigRational eps)	Construct superset of complex roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<Complex<BigDecimal>>>	PolyUtilApp.complexRoots(Ideal<D> I, List<GenPolynomial<D>> univs, BigRational eps)	Construct superset of complex roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<IdealWithComplexRoots<D>>	PolyUtilApp.complexRoots(List<IdealWithUniv<D>> Il, BigRational eps)	Construct superset of complex roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<Complex<BigDecimal>>>	PolyUtilApp.complexRootTuples(Ideal<D> I, BigRational eps)	Construct superset of complex roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<Complex<BigDecimal>>>	PolyUtilApp.complexRootTuples(List<IdealWithUniv<D>> Il, BigRational eps)	Construct superset of complex roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<IdealWithRealRoots<D>>	PolyUtilApp.realRoots(Ideal<D> G, BigRational eps)	Construct superset of real roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<BigDecimal>>	PolyUtilApp.realRoots(Ideal<D> I, List<GenPolynomial<D>> univs, BigRational eps)	Construct superset of real roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<IdealWithRealRoots<D>>	PolyUtilApp.realRoots(List<IdealWithUniv<D>> Il, BigRational eps)	Construct superset of real roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<BigDecimal>>	PolyUtilApp.realRootTuples(Ideal<D> I, BigRational eps)	Construct superset of real roots for zero dimensional ideal(G).
static <D extends GcdRingElem<D> & Rational> List<List<BigDecimal>>	PolyUtilApp.realRootTuples(List<IdealWithUniv<D>> Il, BigRational eps)	Construct superset of real roots for zero dimensional ideal(G).
void	RealAlgebraicRing.refineRoot(BigRational e)	Refine root.
void	RealAlgebraicRing.setEps(BigRational e)	Set a new epsilon.

Uses of BigRational in edu.jas.arith

Classes in edu.jas.arith that implement interfaces with type arguments of type BigRational

Modifier and Type	Class	Description
final class	BigRational	Immutable arbitrary-precision rational numbers.
final class	BigRational	Immutable arbitrary-precision rational numbers.
final class	BigRational	Immutable arbitrary-precision rational numbers.
(package private) class	BigRationalIterator	Big rational iterator.
(package private) class	BigRationalUniqueIterator	Big rational unique iterator.

Fields in edu.jas.arith declared as BigRational

Modifier and Type	Field	Description
(package private) BigRational	BigRationalIterator.curr	data structure.
static final BigRational	BigRational.HALF	The Constant 1/2.
final BigRational	BigComplex.im	Imaginary part of the data structure.
final BigRational	BigQuaternion.im	Imaginary part i of the data structure.
final BigRational	BigQuaternion.jm	Imaginary part j of the data structure.
final BigRational	BigQuaternion.km	Imaginary part k of the data structure.
static final BigRational	BigRational.ONE	The Constant 1.
final BigRational	BigComplex.re	Real part of the data structure.
final BigRational	BigQuaternion.re	Real part of the data structure.
static final BigRational	BigRational.ZERO	The Constant 0.

Fields in edu.jas.arith with type parameters of type BigRational

Modifier and Type	Field	Description
(package private) final Iterator<BigRational>	BigRationalUniqueIterator.ratit
(package private) final Set<BigRational>	BigRationalUniqueIterator.unique	data structure.

Methods in edu.jas.arith that return BigRational

Modifier and Type	Method	Description
BigRational	BigRational.abs()	Rational number absolute value.
static BigRational	BigComplex.CABS(BigComplex A)	Complex number absolute value.
static BigRational	ArithUtil.continuedFractionApprox(List<BigInteger> A)	Continued fraction approximation.
BigRational	BigRational.copy()	Clone this.
BigRational	BigRational.copy(BigRational c)	Copy BigRational element c.
BigRational	BigRational.divide(BigRational S)	Rational number quotient.
BigRational[]	BigRational.egcd(BigRational S)	BigRational extended greatest common divisor.
BigRational	BigRational.factory()	Get the corresponding element factory.
BigRational	BigRational.fromInteger(long a)	Get a BigRational element from a long.
BigRational	BigRational.fromInteger(BigInteger a)	Get a BigRational element from a arith.BigInteger.
BigRational	BigRational.fromInteger(BigInteger a)	Get a BigRational element from a math.BigInteger.
BigRational	BigRational.gcd(BigRational S)	Rational number greatest common divisor.
BigRational	BigComplex.getIm()	Get the imaginary part.
BigRational	BigQuaternion.getIm()	Get the imaginary part im.
BigRational	BigQuaternion.getJm()	Get the imaginary part jm.
BigRational	BigQuaternion.getKm()	Get the imaginary part km.
BigRational	BigRational.getONE()	Get the one element.
BigRational	BigDecimal.getRational()	Get the rational representation.
BigRational	BigInteger.getRational()	Return a BigRational approximation of this Element.
BigRational	BigRational.getRational()	Return a BigRational approximation of this Element.
BigRational	Rational.getRational()	Return a BigRational approximation of this Element.
BigRational	BigComplex.getRe()	Get the real part.
BigRational	BigQuaternion.getRe()	Get the real part.
BigRational	BigRational.getZERO()	Get the zero element.
BigRational	BigRational.inverse()	Rational number inverse.
BigRational	BigRational.multiply(BigRational S)	Rational number product.
BigRational	BigRational.negate()	Rational number negative.
BigRational	BigRationalIterator.next()	Get next rational.
BigRational	BigRationalUniqueIterator.next()	Get next rational.
static BigRational	BigOctonion.OABS(BigOctonion A)	Octonion number absolute value.
BigRational	BigRational.parse(Reader r)	Parse rational number from Reader.
BigRational	BigRational.parse(String s)	Parse rational number from String.
static BigRational	BigQuaternion.QABS(BigQuaternion A)	Quaternion number absolute value.
BigRational[]	BigRational.quotientRemainder(BigRational S)	Quotient and remainder by division of this by S.
BigRational	BigRational.random(int n)	Rational number, random.
BigRational	BigRational.random(int n, Random rnd)	Rational number, random.
static BigRational	BigRational.reduction(BigInteger n, BigInteger d)	Rational number reduction to lowest terms.
BigRational	BigRational.remainder(BigRational S)	Rational number remainder.
static BigRational	BigRational.RNABS(BigRational R)	Rational number absolute value.
static BigRational	BigRational.RNDIF(BigRational R, BigRational S)	Rational number difference.
static BigRational	BigRational.RNINT(BigInteger A)	Rational number from integer.
static BigRational	BigRational.RNINV(BigRational R)	Rational number inverse.
static BigRational	BigRational.RNNEG(BigRational R)	Rational number negative.
static BigRational	BigRational.RNPROD(BigRational R, BigRational S)	Rational number product.
static BigRational	BigRational.RNQ(BigRational R, BigRational S)	Rational number quotient.
static BigRational	BigRational.RNRAND(int NL)	Rational number, random.
static BigRational	BigRational.RNRED(BigInteger n, BigInteger d)	Rational number reduction to lowest terms.
static BigRational	BigRational.RNSUM(BigRational R, BigRational S)	Rational number sum.
static BigRational	Roots.sqrt(BigRational A)	Square root.
BigRational	BigRational.subtract(BigRational S)	Rational number difference.
BigRational	BigRational.sum(BigRational S)	Rational number sum.
static BigRational	BigRational.valueOf(long a)	Get a BigRational element from a long.
static BigRational	BigRational.valueOf(BigInteger a)	Get a BigRational element from a math.BigInteger.

Methods in edu.jas.arith that return types with arguments of type BigRational

Modifier and Type	Method	Description
List<BigRational>	BigRational.generators()	Get a list of the generating elements.
Iterator<BigRational>	BigRational.iterator()	Get a BigRational iterator.
Iterator<BigRational>	BigRational.uniqueIterator()	Get a BigRational iterator with no duplicates.

Methods in edu.jas.arith with parameters of type BigRational

Modifier and Type	Method	Description
int	BigRational.compareTo(BigRational S)	Rational number comparison.
static List<BigInteger>	ArithUtil.continuedFraction(BigRational A)	Continued fraction.
BigRational	BigRational.copy(BigRational c)	Copy BigRational element c.
BigOctonion	BigOctonion.divide(BigRational b)	BigOctonion divide.
BigQuaternion	BigQuaternion.divide(BigRational b)	BigQuaternion divide.
BigQuaternion	BigQuaternionInteger.divide(BigRational b)	BigQuaternion divide.
BigRational	BigRational.divide(BigRational S)	Rational number quotient.
BigRational[]	BigRational.egcd(BigRational S)	BigRational extended greatest common divisor.
BigRational	BigRational.gcd(BigRational S)	Rational number greatest common divisor.
BigQuaternion	BigQuaternion.multiply(BigRational b)	BigQuaternion multiply with BigRational.
BigRational	BigRational.multiply(BigRational S)	Rational number product.
BigRational[]	BigRational.quotientRemainder(BigRational S)	Quotient and remainder by division of this by S.
BigRational	BigRational.remainder(BigRational S)	Rational number remainder.
static BigRational	BigRational.RNABS(BigRational R)	Rational number absolute value.
static int	BigRational.RNCOMP(BigRational R, BigRational S)	Rational number comparison.
static BigInteger	BigRational.RNDEN(BigRational R)	Rational number denominator.
static BigRational	BigRational.RNDIF(BigRational R, BigRational S)	Rational number difference.
static void	BigRational.RNDWR(BigRational R, int NL)	Rational number decimal write.
static BigRational	BigRational.RNINV(BigRational R)	Rational number inverse.
static BigRational	BigRational.RNNEG(BigRational R)	Rational number negative.
static BigInteger	BigRational.RNNUM(BigRational R)	Rational number numerator.
static BigRational	BigRational.RNPROD(BigRational R, BigRational S)	Rational number product.
static BigRational	BigRational.RNQ(BigRational R, BigRational S)	Rational number quotient.
static int	BigRational.RNSIGN(BigRational R)	Rational number sign.
static BigRational	BigRational.RNSUM(BigRational R, BigRational S)	Rational number sum.
static BigRational	Roots.sqrt(BigRational A)	Square root.
BigRational	BigRational.subtract(BigRational S)	Rational number difference.
BigRational	BigRational.sum(BigRational S)	Rational number sum.

Constructors in edu.jas.arith with parameters of type BigRational

Modifier	Constructor	Description
	BigComplex(BigRational r)	The constructor creates a BigComplex object from a BigRational object as real part, the imaginary part is set to 0.
	BigComplex(BigRational r, BigRational i)	The constructor creates a BigComplex object from two BigRational objects real and imaginary part.
	BigDecimal(BigRational a)	Constructor for BigDecimal from BigRational.
	BigDecimal(BigRational a, MathContext mc)	Constructor for BigDecimal from BigRational.
	BigOctonion(BigQuaternionRing fac, BigRational r)	Constructor for a BigOctonion from BigRational.
	BigQuaternion(BigQuaternionRing fac, BigRational r)	Constructor for a BigQuaternion from BigRationals.
	BigQuaternion(BigQuaternionRing fac, BigRational r, BigRational i)	Constructor for a BigQuaternion from BigRationals.
	BigQuaternion(BigQuaternionRing fac, BigRational r, BigRational i, BigRational j)	Constructor for a BigQuaternion from BigRationals.
	BigQuaternion(BigQuaternionRing fac, BigRational r, BigRational i, BigRational j, BigRational k)	Constructor for a BigQuaternion from BigRationals.
	BigQuaternionInteger(BigQuaternionRing fac, BigRational r)	Constructor for a BigQuaternion from BigRationals.
	BigQuaternionInteger(BigQuaternionRing fac, BigRational r, BigRational i)	Constructor for a BigQuaternion from BigRationals.
	BigQuaternionInteger(BigQuaternionRing fac, BigRational r, BigRational i, BigRational j)	Constructor for a BigQuaternion from BigRationals.
	BigQuaternionInteger(BigQuaternionRing fac, BigRational r, BigRational i, BigRational j, BigRational k)	Constructor for a BigQuaternion from BigRationals.

Constructor parameters in edu.jas.arith with type arguments of type BigRational

Modifier	Constructor	Description
	BigRationalUniqueIterator(Iterator<BigRational> rit)	BigRational iterator constructor.

Uses of BigRational in edu.jas.fd

Methods in edu.jas.fd that return types with arguments of type BigRational

Modifier and Type	Method	Description
static GreatestCommonDivisorAbstract<BigRational>	SGCDFactory.getImplementation(BigRational fac)	Determine suitable implementation of gcd algorithms, case BigRational.
static GreatestCommonDivisorAbstract<BigRational>	SGCDFactory.getProxy(BigRational fac)	Determine suitable proxy for gcd algorithms, case BigRational.

Methods in edu.jas.fd with parameters of type BigRational

Modifier and Type	Method	Description
static GreatestCommonDivisorAbstract<BigRational>	SGCDFactory.getImplementation(BigRational fac)	Determine suitable implementation of gcd algorithms, case BigRational.
static GreatestCommonDivisorAbstract<BigRational>	SGCDFactory.getProxy(BigRational fac)	Determine suitable proxy for gcd algorithms, case BigRational.

Uses of BigRational in edu.jas.gbufd

Classes in edu.jas.gbufd with type parameters of type BigRational

Modifier and Type	Class	Description
class	GroebnerBaseRational<C extends BigRational>	Groebner Base sequential algorithm for rational coefficients, fraction free computation.

Subclasses with type arguments of type BigRational in edu.jas.gbufd

Modifier and Type	Class	Description
class	GroebnerBaseRational<C extends BigRational>	Groebner Base sequential algorithm for rational coefficients, fraction free computation.

Methods in edu.jas.gbufd that return types with arguments of type BigRational

Modifier and Type	Method	Description
List<GenPolynomial<BigRational>>	GroebnerBaseRational.GB(int modv, List<GenPolynomial<BigRational>> F)	Groebner base using fraction free computation.
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac)	Determine suitable implementation of GB algorithms, case BigRational.
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac, GBFactory.Algo a)	Determine suitable implementation of GB algorithms, case BigRational.
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac, GBFactory.Algo a, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac, GBFactory.Algo a)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac, GBFactory.Algo a, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
List<GenPolynomial<BigRational>>	GroebnerBaseRational.minimalGB(List<GenPolynomial<BigRational>> Gp)	Minimal ordered Groebner basis.

Methods in edu.jas.gbufd with parameters of type BigRational

Modifier and Type	Method	Description
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac)	Determine suitable implementation of GB algorithms, case BigRational.
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac, GBFactory.Algo a)	Determine suitable implementation of GB algorithms, case BigRational.
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac, GBFactory.Algo a, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac, GBFactory.Algo a)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac, GBFactory.Algo a, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.

Method parameters in edu.jas.gbufd with type arguments of type BigRational

Modifier and Type	Method	Description
int	GroebnerBaseFGLMExamples.bitHeight(List<GenPolynomial<BigRational>> list)	Method bitHeight returns the bitlength of the greatest number occurring during the computation of a Groebner base.
List<GenPolynomial<BigRational>>	GroebnerBaseRational.GB(int modv, List<GenPolynomial<BigRational>> F)	Groebner base using fraction free computation.
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
static GroebnerBaseAbstract<BigRational>	GBFactory.getImplementation(BigRational fac, GBFactory.Algo a, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
static SolvableGroebnerBaseAbstract<BigRational>	SGBFactory.getImplementation(BigRational fac, GBFactory.Algo a, PairList<BigRational> pl)	Determine suitable implementation of GB algorithms, case BigRational.
List<GenPolynomial<BigRational>>	GroebnerBaseRational.minimalGB(List<GenPolynomial<BigRational>> Gp)	Minimal ordered Groebner basis.

Uses of BigRational in edu.jas.poly

Classes in edu.jas.poly that implement interfaces with type arguments of type BigRational

Modifier and Type	Class	Description
(package private) class	ImagPart	Imaginary part functor.
(package private) class	RatNumer	BigRational numerator functor.
(package private) class	RatToCompl	Rational to complex functor.
(package private) class	RatToInt	Conversion of BigRational to BigInteger with division by lcm functor.
(package private) class	RatToIntFactor	Conversion of BigRational to BigInteger.
(package private) class	RatToIntPoly	Conversion from GenPolynomial to GenPolynomial functor.
(package private) class	RealPart	Real part functor.

Methods in edu.jas.poly that return BigRational

Modifier and Type	Method	Description
BigRational	ImagPart.eval(BigComplex c)
BigRational	RealPart.eval(BigComplex c)

Methods in edu.jas.poly that return types with arguments of type BigRational

Modifier and Type	Method	Description
static GenPolynomial<BigRational>	PolyUtil.imaginaryPart(GenPolynomialRing<BigRational> fac, GenPolynomial<BigComplex> A)	Imaginary part.
static GenPolynomial<BigRational>	PolyUtil.realPart(GenPolynomialRing<BigRational> fac, GenPolynomial<BigComplex> A)	Real part.

Methods in edu.jas.poly with parameters of type BigRational

Modifier and Type	Method	Description
BigInteger	RatNumer.eval(BigRational c)
BigComplex	RatToCompl.eval(BigRational c)
BigInteger	RatToInt.eval(BigRational c)
BigInteger	RatToIntFactor.eval(BigRational c)

Method parameters in edu.jas.poly with type arguments of type BigRational

Modifier and Type	Method	Description
static GenPolynomial<BigComplex>	PolyUtil.complexFromRational(GenPolynomialRing<BigComplex> fac, GenPolynomial<BigRational> A)	Complex from rational coefficients.
GenPolynomial<BigInteger>	RatToIntPoly.eval(GenPolynomial<BigRational> c)
static GenPolynomial<BigRational>	PolyUtil.imaginaryPart(GenPolynomialRing<BigRational> fac, GenPolynomial<BigComplex> A)	Imaginary part.
static GenPolynomial<BigInteger>	PolyUtil.integerFromRationalCoefficients(GenPolynomialRing<BigInteger> fac, GenPolynomial<BigRational> A)	BigInteger from BigRational coefficients.
static GenPolynomial<BigInteger>	PolyUtil.integerFromRationalCoefficients(GenPolynomialRing<BigInteger> fac, BigInteger gcd, BigInteger lcm, GenPolynomial<BigRational> A)	BigInteger from BigRational coefficients.
static List<GenPolynomial<BigInteger>>	PolyUtil.integerFromRationalCoefficients(GenPolynomialRing<BigInteger> fac, List<GenPolynomial<BigRational>> L)	BigInteger from BigRational coefficients.
static Object[]	PolyUtil.integerFromRationalCoefficientsFactor(GenPolynomialRing<BigInteger> fac, GenPolynomial<BigRational> A)	BigInteger from BigRational coefficients.
static GenPolynomial<BigRational>	PolyUtil.realPart(GenPolynomialRing<BigRational> fac, GenPolynomial<BigComplex> A)	Real part.

Uses of BigRational in edu.jas.root

Fields in edu.jas.root declared as BigRational

Modifier and Type	Field	Description
protected BigRational	ComplexAlgebraicRing.eps	Epsilon of the isolating rectangle for a complex root.
protected BigRational	RealAlgebraicRing.eps	Precision of the isolating interval for a real root.

Methods in edu.jas.root that return BigRational

Modifier and Type	Method	Description
static BigRational	RealArithUtil.continuedFractionApprox(List<BigInteger> A)	Continued fraction approximation.
BigRational	ComplexAlgebraicRing.getEps()	Get epsilon.
BigRational	RealAlgebraicRing.getEps()	Get the epsilon.
BigRational	RealAlgebraicNumber.getRational()	Return a BigRational approximation of this Element.
BigRational	RealAlgebraicNumber.magnitude()	RealAlgebraicNumber magnitude.
BigRational	Interval.rationalLength()	BigRational Length.
BigRational	RealRootTuple.rationalLength()	Rational Length.
BigRational	Rectangle.rationalLength()	Rational Length.
BigRational	Interval.rationalMiddle()	Rational middle point.

Methods in edu.jas.root that return types with arguments of type BigRational

Modifier and Type	Method	Description
List<BigRational>	RealRootTuple.getRational()	Rational approximation of each coordinate.
Complex<BigRational>	Rectangle.getRationalCenter()	Complex of BigRational approximation of center.
Complex<BigRational>	ComplexAlgebraicNumber.magnitude()	ComplexAlgebraicNumber magnitude.

Methods in edu.jas.root with parameters of type BigRational

Modifier and Type	Method	Description
Complex<BigDecimal>	ComplexRootsAbstract.approximateRoot(Rectangle<C> rt, GenPolynomial<Complex<C>> f, BigRational eps)	Approximate complex root.
BigDecimal	RealRootsAbstract.approximateRoot(Interval<C> iv, GenPolynomial<C> f, BigRational eps)	Approximate real root.
List<Complex<BigDecimal>>	ComplexRootsAbstract.approximateRoots(GenPolynomial<Complex<C>> a, BigRational eps)	List of decimal approximations of complex roots of complex polynomial.
List<BigDecimal>	RealRootsAbstract.approximateRoots(GenPolynomial<C> f, BigRational eps)	Approximate real roots.
static <C extends GcdRingElem<C> & Rational> List<ComplexAlgebraicNumber<C>>	RootFactory.complexAlgebraicNumbers(GenPolynomial<C> f, BigRational eps)	Complex algebraic numbers.
static <C extends GcdRingElem<C> & Rational> List<ComplexAlgebraicNumber<C>>	RootFactory.complexAlgebraicNumbersComplex(GenPolynomial<Complex<C>> f, BigRational eps)	Complex algebraic numbers.
Complex<C>	ComplexRootsAbstract.complexMagnitude(Rectangle<C> rect, GenPolynomial<Complex<C>> f, GenPolynomial<Complex<C>> g, BigRational eps)	Complex algebraic number magnitude.
Rectangle<C>	ComplexRoots.complexRootRefinement(Rectangle<C> rect, GenPolynomial<Complex<C>> a, BigRational len)	Complex root refinement of complex polynomial a on rectangle.
Rectangle<C>	ComplexRootsAbstract.complexRootRefinement(Rectangle<C> rect, GenPolynomial<Complex<C>> a, BigRational len)	Complex root refinement of complex polynomial a on rectangle.
List<Rectangle<C>>	ComplexRootsAbstract.complexRoots(GenPolynomial<Complex<C>> a, BigRational len)	List of complex roots of complex polynomial.
static <C extends GcdRingElem<C> & Rational> DecimalRoots<C>	RootFactory.decimalRoots(GenPolynomial<C> f, BigRational eps)	Roots as real and complex decimal numbers.
static <C extends GcdRingElem<C> & Rational> DecimalRoots<C>	RootFactory.decimalRoots(AlgebraicRoots<C> ar, BigRational eps)	Roots as real and complex decimal numbers.
static <C extends GcdRingElem<C> & Rational> List<Complex<BigDecimal>>	RootFactory.filterOutRealRoots(GenPolynomial<C> f, List<Complex<BigDecimal>> c, List<BigDecimal> r, BigRational eps)	Filter real roots from complex roots.
RealAlgebraicNumber<C>	RealAlgebraicRing.fromRational(BigRational a)	Get a RealAlgebraicNumber element from a BigRational value.
Interval<C>	RealRootsAbstract.invariantMagnitudeInterval(Interval<C> iv, GenPolynomial<C> f, GenPolynomial<C> g, BigRational eps)	Invariant interval for algebraic number magnitude.
Rectangle<C>	ComplexRootsAbstract.invariantMagnitudeRectangle(Rectangle<C> rect, GenPolynomial<Complex<C>> f, GenPolynomial<Complex<C>> g, BigRational eps)	Invariant rectangle for algebraic number magnitude.
boolean	RealRootsAbstract.isApproximateRoot(List<BigDecimal> R, GenPolynomial<C> f, BigRational eps)	Test if each x in R is an approximate real root.
static <C extends GcdRingElem<C> & Rational> boolean	RootFactory.isRealRoot(GenPolynomial<C> f, Complex<BigDecimal> c, BigDecimal r, BigRational eps)	Is complex decimal number a real root of a polynomial.
static <C extends GcdRingElem<C> & Rational> List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbers(GenPolynomial<C> f, BigRational eps)	Real algebraic numbers.
static <C extends GcdRingElem<C> & Rational> List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbersField(GenPolynomial<C> f, BigRational eps)	Real algebraic numbers from a field.
static <C extends GcdRingElem<C> & Rational> List<RealAlgebraicNumber<C>>	RootFactory.realAlgebraicNumbersIrred(GenPolynomial<C> f, BigRational eps)	Real algebraic numbers from a irreducible polynomial.
C	RealRoots.realMagnitude(Interval<C> iv, GenPolynomial<C> f, GenPolynomial<C> g, BigRational eps)	Real algebraic number magnitude.
C	RealRootsAbstract.realMagnitude(Interval<C> iv, GenPolynomial<C> f, GenPolynomial<C> g, BigRational eps)	Real algebraic number magnitude.
List<Interval<C>>	RealRoots.realRoots(GenPolynomial<C> f, BigRational eps)	Isolating intervals for the real roots.
List<Interval<C>>	RealRootsAbstract.realRoots(GenPolynomial<C> f, BigRational eps)	Isolating intervals for the real roots.
Interval<C>	RealRoots.refineInterval(Interval<C> iv, GenPolynomial<C> f, BigRational eps)	Refine interval.
Interval<C>	RealRootsAbstract.refineInterval(Interval<C> iv, GenPolynomial<C> f, BigRational eps)	Refine interval.
List<Interval<C>>	RealRoots.refineIntervals(List<Interval<C>> V, GenPolynomial<C> f, BigRational eps)	Refine intervals.
List<Interval<C>>	RealRootsAbstract.refineIntervals(List<Interval<C>> V, GenPolynomial<C> f, BigRational eps)	Refine intervals.
void	ComplexAlgebraicRing.refineRoot(BigRational e)	Refine root.
void	RealAlgebraicRing.refineRoot(BigRational e)	Refine root.
void	RealRootTuple.refineRoot(BigRational eps)	Refine root isolating intervals.
static <C extends GcdRingElem<C> & Rational> void	RootFactory.rootRefine(AlgebraicRoots<C> a, BigRational eps)	Root refinement of real and complex algebraic numbers.
void	ComplexAlgebraicRing.setEps(BigRational e)	Set a new epsilon.
void	RealAlgebraicRing.setEps(BigRational e)	Set a new epsilon.

Method parameters in edu.jas.root with type arguments of type BigRational

Modifier and Type	Method	Description
static List<BigInteger>	RealArithUtil.continuedFraction(RealAlgebraicNumber<BigRational> A, int M)	Continued fraction.

Uses of BigRational in edu.jas.ufd

Subclasses with type arguments of type BigRational in edu.jas.ufd

Modifier and Type	Class	Description
class	FactorRational	Rational number coefficients factorization algorithms.

Methods in edu.jas.ufd that return types with arguments of type BigRational

Modifier and Type	Method	Description
List<GenPolynomial<BigRational>>	FactorRational.baseFactorsSquarefree(GenPolynomial<BigRational> P)	GenPolynomial base factorization of a squarefree polynomial.
SortedMap<GenPolynomial<BigRational>, Long>	FactorRational.factors(GenPolynomial<BigRational> P)	GenPolynomial factorization of a polynomial.
List<GenPolynomial<BigRational>>	FactorRational.factorsSquarefree(GenPolynomial<BigRational> P)	GenPolynomial factorization of a squarefree polynomial.
static FactorAbstract<BigRational>	FactorFactory.getImplementation(BigRational fac)	Determine suitable implementation of factorization algorithms, case BigRational.
static GreatestCommonDivisorAbstract<BigRational>	GCDFactory.getImplementation(BigRational fac)	Determine suitable implementation of gcd algorithms, case BigRational.
static SquarefreeAbstract<BigRational>	SquarefreeFactory.getImplementation(BigRational fac)	Determine suitable implementation of squarefree factorization algorithms, case BigRational.
static GreatestCommonDivisorAbstract<BigRational>	GCDFactory.getProxy(BigRational fac)	Determine suitable proxy for gcd algorithms, case BigRational.

Methods in edu.jas.ufd with parameters of type BigRational

Modifier and Type	Method	Description
static FactorAbstract<BigRational>	FactorFactory.getImplementation(BigRational fac)	Determine suitable implementation of factorization algorithms, case BigRational.
static GreatestCommonDivisorAbstract<BigRational>	GCDFactory.getImplementation(BigRational fac)	Determine suitable implementation of gcd algorithms, case BigRational.
static SquarefreeAbstract<BigRational>	SquarefreeFactory.getImplementation(BigRational fac)	Determine suitable implementation of squarefree factorization algorithms, case BigRational.
static GreatestCommonDivisorAbstract<BigRational>	GCDFactory.getProxy(BigRational fac)	Determine suitable proxy for gcd algorithms, case BigRational.

Method parameters in edu.jas.ufd with type arguments of type BigRational

Modifier and Type	Method	Description
List<GenPolynomial<BigRational>>	FactorRational.baseFactorsSquarefree(GenPolynomial<BigRational> P)	GenPolynomial base factorization of a squarefree polynomial.
SortedMap<GenPolynomial<BigRational>, Long>	FactorRational.factors(GenPolynomial<BigRational> P)	GenPolynomial factorization of a polynomial.
List<GenPolynomial<BigRational>>	FactorRational.factorsSquarefree(GenPolynomial<BigRational> P)	GenPolynomial factorization of a squarefree polynomial.
static GenPolynomial<GenPolynomial<BigInteger>>	PolyUfdUtil.integerFromRationalCoefficients(GenPolynomialRing<GenPolynomial<BigInteger>> fac, GenPolynomial<GenPolynomial<BigRational>> A)	BigInteger from BigRational coefficients.
static List<GenPolynomial<GenPolynomial<BigInteger>>>	PolyUfdUtil.integerFromRationalCoefficients(GenPolynomialRing<GenPolynomial<BigInteger>> fac, List<GenPolynomial<GenPolynomial<BigRational>>> L)	BigInteger from BigRational coefficients.